7208087040 has 960 divisors, whose sum is σ = 33092167680. Its totient is φ = 1403781120.

The previous prime is 7208087017. The next prime is 7208087069. The reversal of 7208087040 is 407808027.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7208086986 and 7208087004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30159241 + ... + 30159479.

It is an arithmetic number, because the mean of its divisors is an integer number (34471008).

Almost surely, 2^7208087040 is an apocalyptic number.

7208087040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7208087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546083840).

7208087040 is an abundant number, since it is smaller than the sum of its proper divisors (25884080640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7208087040 is a wasteful number, since it uses less digits than its factorization.

7208087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7208087040 is about 84900.4537090350. The cubic root of 7208087040 is about 1931.7014571556.

The spelling of 7208087040 in words is "seven billion, two hundred eight million, eighty-seven thousand, forty".